We study the photon self-energy in magnetized chiral plasma by solving the response of electromagnetic field perturbations in chiral kinetic theory with Landau level states. With lowest Landau level approximation and in the collisionless limit, we find solutions for three particular perturbations: the parallel electric, static perpendicular electric field, and static perpendicular magnetic field, corresponding to chiral magnetic wave, drift state, and tilted state, from which we extract components of photon self-energy in different kinematics. We that show no solution is possible for more general field perturbations. We argue that this is an artifact of the collisionless limit: while static solutions corresponding to the drift state and tilted state can be found, they cannot be realized dynamically without interaction between Landau levels. We also discuss the possible manifestation of side-jump effects due to both boost and rotation, with the latter due to the presence of background magnetic field.
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